114/75 as a Decimal and Mixed Number

114/75 as a decimal and mixed number expansion provides the detailed information about what is 114/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

114/75 as a Decimal
114/75 = 1.52
Hence,
114/75 as a decimal equals to 1.52
where,
114/75 is a given fraction,
The decimal expansion of 114/75 is 1.52

114/75 as a Mixed Number
114/75 = (75 + 39)/75
= 75/75 + 39/75
= 1 + 39/75
= 1 39/75
114/75 = 1 39/75

Hence,
114/75 as a mixed number is 1 ³⁹/₇₅
where,
114/75 is a given fraction,
1 ³⁹/₇₅ is the mixed number representation of 114/75.

The below work with steps provide the detailed information about how to convert fraction 114/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 114/75

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 114/75.

step 2 The numerator is greater than the denominator of the fraction 114/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 114/75
= 75 + 39/75

step 3 Make the above expression as individual fractions:
= 75/75 + 39/75

step 4 Simplify the above expression:
= 1 x 75/75 + 39/75
= 1 + 39/75
= 1 + 13 x 3/25 x 3
= 1 + 13/25
1 + 13/25 can be written as a mixed number 1 ¹³/₂₅.


step 5 Find the decimal equivalent for the fractional part 13/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 1 + (13/25 x 4/4)
= 1 + 52/100

step 6 Simplify the above expression further:
= 1 + 0.52
= 1.52
114/75 = 1.52

Hence,
114/75 as a decimal is 1.52
114/75 as a mixed number is 1 ¹³/₂₅